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Finding the Third Proportional to 53,331 and 115,214

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Solution

The third proportional to 53,331 and 115,214 is: 248,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,331 : 115,214 = 115,214 : x
  2. Step 2: Convert to fraction form
    53,331/115,214 = 115,214/x
  3. Step 3: Cross multiply
    53,331x = 115,214 × 115,214
  4. Step 4: Simplify right side
    53,331x = 13,274,265,796
  5. Step 5: Solve for x
    x = 13,274,265,796/53,331
  6. Step 6: Final answer
    x = 248,903.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.